Analyzing the Longest Delay Path in Logic Circuits Assignment

Assignment Task

1. ( CLA ) In a carry-lookahead adder, the carry propagate and generate signals can be defined as follows:

P i = A i + B i

G i = A i B i

Use the previous definitions and with the help of Boolean algebra show that the carry and output sum of a full adder becomes:

C _i+1 = ( C i G i + P i )

2. ( Longest Delay Path ) For a certain implementation technology, AND gates and OR gates both have a propagation delay of 12 nanoseconds. Similarly, exclusive-OR gates have a delay of 20 nanoseconds. What is the total propagation delay time for a 4-bit carry- lookahead adder? How does this compare with the longest-path delay of a ripple-carry adder?

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